Question

Algebra help?

Answer 1

1. Robert took $50 with him to spend on pizza and games for himself and his friends at Chucky Cheese. The price for each slice of pizza was $5. The price of each game was half the price of a slice of pizza.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of slices of pizza and the other axis to represent the number of games.
(b) What do the intercepts and the solutions of your graphed function mean in context of the problem?

Answer 2

@Ultrilliam

Answer 3

@Vocaloid

Answer 4

The price for each slice of pizza was $5. The price of each game was half the price of a slice of pizza.

therefore each game costs half of 5$, or $2.50

our first step would be to calculate:

1. the maximum number of pizza slices he can buy with $50 (assuming he does not spend $ on games)
and

2. the maximum number of games he can play with $50 (assuming he does not spend $ on pizza)

any ideas on how to do these two steps?

Answer 5

5x10= 50 so he could get 10

Answer 6

10 pizza slices, yes,

what about the maximum number of games?

Answer 7

2.50x20 is 50 so 20

Answer 8

good

like a) says, we will put pizza slices on one axis and games on the other

Answer 9

okay

Answer 10

for b) the x-intercept (10,0) represents the maximum number of pizza slices he can buy if he spends the entire $50 on pizza,

while the y-intercept (0,20) represents the maximum number of games he can buy if he spends the entire $50 on games

Answer 11

so that's pretty much all you need to do for a) and b), lmk if anything I said was unclear or if you have any more questions

Answer 12

Thanks so much